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--- maths_and_crisis [2009-02-11 10:54] – 81.188.78.24
+++ maths_and_crisis [2009-02-12 11:21] – tamuraj
@@ Line 1: / Line 1: @@
-====== Maths and crisis ======
+====Maths and crisis ====
-By Tamuraj
+By Tamuraj (www.tamuraj.com)
-===== Mathematical prerequisites =====
+=== Mathematical prerequisites ===
   * Algebraic prerequisites
-  * Real numbers, Complex numbers, Matrix algebra,...
+    * Real numbers, Complex numbers, Matrix algebra,...
   * Mathematical functions
   * Properties of mathematical functions
-  * Continuity
+    * Continuity
-  * Differentiability
+    * Differentiability
   * Mathematical equations
     * Linear equations
@@ Line 19: / Line 18: @@
     * Deduction systems
     * Meta logic
-    * Probability theory
+  * Probability theory
-Digital chaos
-Random processes: natural and digital random processes
-Brownian movements, the digital randomizer
-Infinity
-Different versions of infinity:
-Countable overcountible sets e.g. Cantor sets
-Self similarity
-Sierpinski triangle
-Chaos theory
-The linear fake model
-The artificial dream
-Introduction into Artificial Intelligence
-Short overview of history
-Definition and the Turing test
-Hilberts program
-Gödel’s theorem
-The artificial brain
-Emotive computing
-Quantum mechanics and Artificial Intelligence
-Mathematical modeling
-Basic principles of mathematical modeling
-Hypothesis testing
+===Digital chaos ===
-Error manipulation
-Predictive modeling
-Linear modeling with example
-Outliers and instability
-Overview of different mathematical models
+  * Random processes: natural and digital random processes
-Multilinear regression models
+    * Brownian movements, the digital randomizer
-Polynomial regression models
+  * Infinity
-Hazard models
+    * Different versions of infinity:
-General linear models
+    * Countable overcountible sets e.g. Cantor sets
-Times series analysis
+  * Self similarity
-...
+    * Sierpinski triangle
-The curse of non linearity
+  * Chaos theory
-The curse of assumptions
+  * The linear fake model
-Normality
-Linearity
-Distributional assumptions
+===The artificial dream===
-Mathematical models of ecological  systems
+  * Introduction into [[Artificial Intelligence]]
-Introduction into biostatistics
+    * Short overview of history
-The outlier problem
+    * Definition and the Turing test
-Rare events
+  * Hilberts program
-Recursive patterns
+  * Gödel’s theorem
-Linearization
+  * The artificial brain
-Risk modeling
+  * Emotive computing
-Maths and ecological policy
+  * Quantum mechanics and Artificial Intelligence
-Mathematical models of economical systems
+===Mathematical modeling===
-Godel’s theorem in a capitalist world
-Loan systems
-The monetary hyperspace
-Capitalism and infity
-Introduction into econometric modeling
-Linearization
-Politics of complexity
+  * Basic principles of mathematical modeling
+    * Hypothesis testing
+    * Error manipulation
+  * Predictive modeling
+    * Linear modeling with example
+    * Outliers and instability
+  * Overview of different mathematical models
+    * Multilinear regression models
+    * Polynomial regression models
+    * Hazard models
+    * General linear models
+    * Timeseries analysis
+    * ...
+  * The curse of non linearity
+  * The curse of assumptions
+    * Normality
+    * Linearity
+    * Distributional assumptions
+===Mathematical models of ecological  systems ====
+  * Introduction into biostatistics
+  * The outlier problem
+  * Rare events
+  * Recursive patterns
+  * Linearization
+  * Risk modeling
+  * Maths and ecological policy
+===Mathematical models of economical systems ===
+  * Gödel’s theorem in a capitalist world
+    * Loan systems
+    * The monetary hyperspace
+  * Capitalism and infinity
+  * Introduction into econometric modeling
+  * Linearization
+  * Politics of complexity